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Finding the Fourth Proportional to 177.60, 245.24 and 133.86

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Solution

The fourth proportional to 177.60, 245.24 and 133.86 is: 184.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    177.60 : 245.24 = 133.86 : x
  2. Step 2: Convert to fraction form
    177.60/245.24 = 133.86/x
  3. Step 3: Cross multiply
    177.60x = 245.24 × 133.86
  4. Step 4: Simplify right side
    177.60x = 32,827.83
  5. Step 5: Solve for x
    x = 32,827.83/177.60
  6. Step 6: Final answer
    x = 184.84

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.